A nonlinear sparse neural ordinary differential equation model for multiple functional processes. [PDF]
Can J Stat, 2022 Liu Y, Li L, Wang X.
europepmc +1 more source
A Deep Learning Framework for Flash-Flood-Runoff Prediction: Integrating CNN-RNN with Neural Ordinary Differential Equations (ODEs) [PDF]
Khaula Alkaabi +2 more
openalex +1 more source
Lessons Learned From a Delayed‐Start Trial of Modafinil for Freezing of Gait in Parkinson's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Freezing of gait (FOG) in people with Parkinson's disease (PwPD) is debilitating and has limited treatments. Modafinil modulates beta/gamma band activity in the pedunculopontine nucleus (PPN), like PPN deep brain stimulation. We therefore tested the hypothesis that Modafinil would improve FOG in PwPD.
Tuhin Virmani +8 more
wiley +1 more source
Behavior at infinity of psi-evanescent solutions to linear differential equations
Electronic Journal of Differential Equations, 2010 In this article we present some necessary and sufficient conditions for the existence of $psi$-evanescent solution of the nonhomogeneous linear differential equation $x'=A(t)x+f(t)$, which is related to the notion of $psi$-ordinary dichotomy for the ...
Pham Ngoc Boi
doaj
AMICI: high-performance sensitivity analysis for large ordinary differential equation models. [PDF]
Bioinformatics, 2021 Fröhlich F +7 more
europepmc +1 more source
Lagrangian mechanics without ordinary differential equations [PDF]
, 2006 George W. Patrick, George W. Patrick
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Developmental, Neuroanatomical and Cellular Expression of Genes Causing Dystonia
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Dystonia is one of the most common movement disorders, with variants in multiple genes identified as causative. However, an understanding of which developmental stages, brain regions, and cell types are most relevant is crucial for developing relevant disease models and therapeutics.
Darren Cameron +5 more
wiley +1 more source
Reverse engineering gene regulatory network based on complex-valued ordinary differential equation model. [PDF]
BMC Bioinformatics, 2021 Yang B +6 more
europepmc +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective The Gold Coast criteria permit diagnosis of amyotrophic lateral sclerosis (ALS) even without upper motor neuron (UMN) signs. However, whether ALS patients with UMN signs (ALSwUMN) and those without (ALSwoUMN) share similar characteristics and prognoses remains unclear.
Hee‐Jae Jung +7 more
wiley +1 more source
Existence and uniqueness of a local solution for x' = f(t,x) using inverse functions
Electronic Journal of Differential Equations, 2013 A condition on the function $f$ is given such that the scalar ordinary differential equation $x' = f(t,x)$ with initial condition $x(t_0) = x_0$ has a unique solution in a neighborhood of $t_0$. An example illustrates that this result can be used when
Jeffrey T. Hoag
doaj